The Bending Behaviour of Plain-woven Fabrics Part I: A Critical Review

The mechanics of the bending of yarns and woven fabrics have received considerable attention in the literature. Efforts have been made to obtain analytical relations between yarn-bending behaviour and constituent-fibre properties. In the case of fabrics, the objectives have been to obtain analytical relations between fabric-bending behaviour and constituent-fibre behaviour or yarn behaviour, on the assumption of a given geometrical disposition of fibres or yarns in the fabric. In this paper, a review of these efforts is made. Comparisons of the theoretical models with available experimental observations are discussed.

[1]  F. T. P. B.Sc..  26—THE “HANDLE” OF CLOTH AS A MEASURABLE QUANTITY , 1930 .

[2]  P. Grosberg.  The Mechanical Properties of Woven Fabrics Part II: The Bending of Woven Fabrics , 1966 .

[3]  G. A. V. Leaf,et al.  26—THE ELASTIC RESISTANCE TO BENDING OF PLAIN-WOVEN FABRICS , 1973 .

[4]  D. N. E. Cooper,et al.  24—THE STIFFNESS OF WOVEN TEXTILES , 1960 .

[5]  Rajesh D. Anandjiwala,et al.  A Generalized Model of Plain Woven Fabric , 1985 .

[6]  William G. Klein,et al.  Mechanics of Elastic Performance of Textile Materials , 1959 .

[7]  R. C. Dhingra,et al.  52—THE BENDING AND RECOVERY PROPERTIES OF CONTINUOUS-FILAMENT AND STAPLE-FIBRE YARNS , 1976 .

[8]  G. Leaf,et al.  1—THE INITIAL LOAD–EXTENSION BEHAVIOUR OF PLAIN-WOVEN FABRICS , 1980 .

[9]  J. D. Owen,et al.  47—CLOTH STIFFNESS AND HYSTERESIS IN BENDING , 1964 .

[10]  Tryggve Eeg-Olofsson.  7—SOME MECHANICAL PROPERTIES OF VISCOSE RAYON FABRICS , 1959 .

[11]  M. Konopasek,et al.  Computational theory of bending curves part I: The initial value problem for the three-dimensional elastic bending curve , 1972 .

[12]  J. D. Owen.  24—THE BENDING BEHAVIOUR OF PLAIN-WEAVE FABRICS WOVEN FROM SPUN YARNS , 1968 .

[13]  S. Kawabata,et al.  3—THE FINITE-DEFORMATION THEORY OF PLAIN-WEAVE FABRICS PART I: THE BIAXIAL-DEFORMATION THEORY , 1973 .

[14]  John Skelton,et al.  Geometric Freedom in Bent Yarns and Fabrics , 1976 .

[15]  Joel Lindberg.  Dimensional Changes in Multicomponent Systems of Fabrics: A Theoretical Study , 1961 .

[16]  S. K. Batra,et al.  17—THE NORMAL FORCE BETWEEN TWISTED FILAMENTS. PART I: THE FIBRE-WOUND-ON-CYLINDER MODEL—ANALYTICAL TREATMENT , 1973 .

[17]  B. Olofsson,et al.  17—A STUDY OF INELASTIC DEFORMATIONS OF TEXTILE FABRICS , 1967 .

[18]  A. Love,et al.  The Mathematical Theory of Elasticity. , 1928 .

[19]  Noboru Oguchi,et al.  A Theory of Elasto-Plastic Buckling , 1966 .

[20]  Milton M. Platt,et al.  Mechanics of Elastic Performance of Textile Materials , 1964 .

[21]  N. Huang.  Finite Biaxial Extension of Completely Set Plain Woven Fabrics , 1979 .

[22]  Bertil Olofsson,et al.  19—The Setting of Wool Fabrics—A Theoretical Study , 1961 .

[23]  P. R. Lord,et al.  Weaving: Conversion of yarn to fabric , 1976 .

[24]  G. A. V. Leaf.  28—THE BENDING BEHAVIOUR OF A HELICAL FILAMENT PART I: THE RIGIDITY OF THE HELIX , 1979 .

[25]  M. Platt,et al.  102—THEORETICAL CONSIDERATIONS OF BENDING AND CREASING IN A FABRIC , 1960 .

[26]  G. A. V. Leaf,et al.  The Mechanical Properties of Woven Fabrics , 1971 .

[27]  F. T. Peirce.  The geometry of cloth structure , 1937 .

[28]  B. Olofsson,et al.  49—A GENERAL MODEL OF A FABRIC AS A GEOMETRIC-MECHANICAL STRUCTURE , 1964 .

[29]  W. J. Shanahan,et al.  12—AN ENERGY METHOD FOR CALCULATIONS IN FABRIC MECHANICS PART II: EXAMPLES OF APPLICATION OF THE METHOD TO WOVEN FABRICS , 1978 .

[30]  Stanley Backer,et al.  The Mechanics of Bent Yarns , 1952 .

[31]  P. Grosberg,et al.  The Mechanical Properties of Woven Fabrics , 1966 .

[32]  A. Kemp.  An Extension of Peirce's Cloth Geometry to the Treatment of Non-circular Threads , 1958 .